Moiré Profile Prediction by Using Fourier Series Formalism

Abstract

One of the theories of moiré pattern prediction uses the technique of partial sum extraction in the Fourier series expansion of the transmittance distribution which is obtained as the product of composite gratings transmittances. Based on this technique a simple method for the profile prediction of moiré fringes produced by the interaction of two binary type gratings is developed. The theoretical model adopted easily clarifies the interdependence between the parameters of the interacting gratings and resulting specific fringe profiles. It also gives a simple and fast interpretation of the moiré fringe shape encountered in a moiré display using the fringe multiplication technique.